The matrix Jacobson graph of finite commutative rings

DOI10.5614/EJGTA.2022.10.1.12zbMath1487.05116OpenAlexW4225261144MaRDI QIDQ5081218

Pudji Astuti, Intan Muchtadi-Alamsyah, Siti Humaira, Ahmad Erfanian

Publication date: 14 June 2022

Published in: Electronic Journal of Graph Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5614/ejgta.2022.10.1.12

zbMATH Keywords

connectivityplanarityperfectnessfinite commutative ringsmatrix Jacobson graph

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Connectivity (05C40) Perfect graphs (05C17)

Cites Work

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• Isomorphisms between Jacobson graphs
• The strong perfect graph theorem
• Some results on the Jacobson graph of a commutative ring
• Some new results on Jacobson graphs
• The proof of a conjecture in Jacobson graph of a commutative ring
• Cycles and paths in Jacobson graphs
• THE JACOBSON GRAPH OF COMMUTATIVE RINGS

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